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Problem 2: The items below are based on the following scenario. A social psychologist conducted a study to answer the question, "Does Smith's rehabilitation program decrease the rate of prisoners who re-offend?" The results and an excerpt from the results section of this fictional study follow: A chi-square test for independence was conducted to test whether Smith's rehabilitation program differed from the old system in the number of repeat offenders. Results indic

Problem 2: The items below are based on the following scenario. A social psychologist conducted a study to answer the question, "Does Smith's rehabilitation program decrease the rate of prisoners who re-offend?" The results and an excerpt from the results section of this fictional study follow: A chi-square test for independence was conducted to test whether Smith's rehabilitation program differed from the old system in the number of repeat offenders. Results indic

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Problem 2: The items below are based on the following scenario. A social psychologist conducted a study to answer the question, "Does Smith's rehabilitation program decrease the rate of prisoners who re-offend?" The results and an excerpt from the results section of this fictional study follow:

A chi-square test for independence was conducted to test whether Smith's rehabilitation program differed from the old system in the number of repeat offenders. Results indicated that a difference did exist, χ 2 (1, N = 68) = 8.74, p < .01.

Of prisoners in Smith's program, __________ % were repeat offenders.

The table displays observed and expected frequencies related to re-offending outcomes from two different programs: Smith’s and Standard. Here's a detailed explanation: **Columns:** 1. **Program:** Lists the two programs analyzed: Smith’s and Standard. 2. **Re-Offend? No:** The number of participants who did not re-offend. - Smith’s program: Observed = 8, Expected = 14 - Standard program: Observed = 20, Expected = 14 3. **Re-Offend? Yes:** The number of participants who did re-offend. - Smith’s program: Observed = 26, Expected = 20 - Standard program: Observed = 14, Expected = 20 4. **Total:** The total number of participants in each program: - Smith’s: 34 - Standard: 34 5. **Percent:** The percentage of participants in each program relative to the total: - Both programs have 50% of the participants. **Rows:** - **Smith’s Program:** Includes observed and expected frequencies for re-offending (both Yes and No). - **Standard Program:** Includes observed and expected frequencies for re-offending (both Yes and No). - **Total:** Summarizes the total numbers of participants across both programs. - No re-offend total: 28 - Yes re-offend total: 40 - Combined total participants: 68 - Combined percent: 100% This table helps compare the effectiveness of the two programs in terms of re-offending rates and shows a discrepancy between observed and expected re-offending frequencies.
Transcribed Image Text:The table displays observed and expected frequencies related to re-offending outcomes from two different programs: Smith’s and Standard. Here's a detailed explanation: **Columns:** 1. **Program:** Lists the two programs analyzed: Smith’s and Standard. 2. **Re-Offend? No:** The number of participants who did not re-offend. - Smith’s program: Observed = 8, Expected = 14 - Standard program: Observed = 20, Expected = 14 3. **Re-Offend? Yes:** The number of participants who did re-offend. - Smith’s program: Observed = 26, Expected = 20 - Standard program: Observed = 14, Expected = 20 4. **Total:** The total number of participants in each program: - Smith’s: 34 - Standard: 34 5. **Percent:** The percentage of participants in each program relative to the total: - Both programs have 50% of the participants. **Rows:** - **Smith’s Program:** Includes observed and expected frequencies for re-offending (both Yes and No). - **Standard Program:** Includes observed and expected frequencies for re-offending (both Yes and No). - **Total:** Summarizes the total numbers of participants across both programs. - No re-offend total: 28 - Yes re-offend total: 40 - Combined total participants: 68 - Combined percent: 100% This table helps compare the effectiveness of the two programs in terms of re-offending rates and shows a discrepancy between observed and expected re-offending frequencies.
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